61541353254264 has 192 divisors, whose sum is σ = 178047159402240. Its totient is φ = 17655368140800.

The previous prime is 61541353254259. The next prime is 61541353254299. The reversal of 61541353254264 is 46245235314516.

It is a super-2 number, since 2×61541353254264² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3207189 + ... + 11548539.

It is an arithmetic number, because the mean of its divisors is an integer number (927328955220).

Almost surely, 2^{61541353254264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61541353254264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89023579701120).

61541353254264 is an abundant number, since it is smaller than the sum of its proper divisors (116505806147976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61541353254264 is a wasteful number, since it uses less digits than its factorization.

61541353254264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8341510 (or 8341493 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 51.

The spelling of 61541353254264 in words is "sixty-one trillion, five hundred forty-one billion, three hundred fifty-three million, two hundred fifty-four thousand, two hundred sixty-four".